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AuthorShafarevich, Igor R. author
TitleBasic Algebraic Geometry [electronic resource] / by Igor R. Shafarevich
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1974
Connect tohttp://dx.doi.org/10.1007/978-3-642-96200-4
Descript XVI, 440 p. online resource

CONTENT

I. Algebraic Varieties in a Projective Space -- I. Fundamental Concepts -- II. Local Properties -- III. Divisors and Differential Forms -- IV. Intersection Indices -- II. Schemes and Varieties -- V. Schemes -- VI. Varieties -- III. Algebraic Varieties over the Field of Complex Numbers and Complex Analytic Manifolds -- VII. Topology of Algebraic Varieties -- VIII. Complex Analytic Manifolds -- IX. Uniformization -- Historical Sketch -- 1. Elliptic Integrals -- 2. Elliptic Functions -- 3. Abelian Integrals -- 4. Riemann Surfaces -- 5. The Inversion Problem -- 6. Geometry of Algebraic Curves -- 7. Many-Dimensional Geometry -- 8. The Analytic Theory of Manifolds -- 9. Algebraic Varieties over an Arbitrary Field. Schemes -- Bibliography for the Historical Sketch -- List of Notation


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